Uniqueness of entire ground states for the fractional plasma problem

被引：0
|
作者：
Hardy Chan
María Del Mar González
Yanghong Huang
Edoardo Mainini
Bruno Volzone
机构：
[1] ETH Zürich,Departement Mathematik.
[2] Universidad Autónoma de Madrid,Departamento de Matemáticas, and ICMAT
[3] University of Manchester,Department of Mathematics
[4] Università degli studi di Genova,Dipartimento di Ingegneria meccanica, energetica, gestionale e dei trasporti
[5] Università degli Studi di Napoli “Parthenope”,Dipartimento di Scienze e Tecnologie
来源：
Calculus of Variations and Partial Differential Equations | 2020年 / 59卷
关键词：
35K55; 35R11; 49K20;
D O I：
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学科分类号：
摘要：
We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground states, to some semilinear fractional elliptic equations. In particular, we treat the fractional plasma equation and the supercritical power nonlinearity. As an application, we deduce uniqueness of radial steady states for nonlocal aggregation-diffusion equations of Keller-Segel type, even in the regime that is dominated by aggregation.
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